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Finding the Fourth Proportional to 661.74, 912.79 and 426.00

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Solution

The fourth proportional to 661.74, 912.79 and 426.00 is: 587.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.74 : 912.79 = 426.00 : x
  2. Step 2: Convert to fraction form
    661.74/912.79 = 426.00/x
  3. Step 3: Cross multiply
    661.74x = 912.79 × 426.00
  4. Step 4: Simplify right side
    661.74x = 388,847.36
  5. Step 5: Solve for x
    x = 388,847.36/661.74
  6. Step 6: Final answer
    x = 587.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.